Conservative Dynamic P(φ)₂ Model on the Whole Plane and Its Reversible Measures

Explore the mathematical foundations of the conservative dynamic P(φ)₂ model through this 58-minute conference talk presented at ICBS2025 by Tadahisa Funaki from BIMSA. Delve into the theoretical framework of this stochastic field theory model as it applies to the whole plane, examining its key properties and behavior. Learn about the reversible measures associated with this conservative dynamic system and understand how they relate to the model's equilibrium properties. Gain insights into advanced concepts in mathematical physics and probability theory, particularly focusing on the interplay between conservation laws and stochastic dynamics in two-dimensional field theories. Discover the mathematical techniques used to analyze such models and their applications in understanding complex stochastic systems on infinite domains.